9(x-1)=-3(x-9)

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Solution for 9(x-1)=-3(x-9) equation:


Simplifying
9(x + -1) = -3(x + -9)

Reorder the terms:
9(-1 + x) = -3(x + -9)
(-1 * 9 + x * 9) = -3(x + -9)
(-9 + 9x) = -3(x + -9)

Reorder the terms:
-9 + 9x = -3(-9 + x)
-9 + 9x = (-9 * -3 + x * -3)
-9 + 9x = (27 + -3x)

Solving
-9 + 9x = 27 + -3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '3x' to each side of the equation.
-9 + 9x + 3x = 27 + -3x + 3x

Combine like terms: 9x + 3x = 12x
-9 + 12x = 27 + -3x + 3x

Combine like terms: -3x + 3x = 0
-9 + 12x = 27 + 0
-9 + 12x = 27

Add '9' to each side of the equation.
-9 + 9 + 12x = 27 + 9

Combine like terms: -9 + 9 = 0
0 + 12x = 27 + 9
12x = 27 + 9

Combine like terms: 27 + 9 = 36
12x = 36

Divide each side by '12'.
x = 3

Simplifying
x = 3

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